A lot of effort has been put into developing precoding and detection methods for multi-user MIMO systems [1]}, [2]}, [3]}, [4]}, [5]}, [6]}. In this paper we introduce the novel class of precoding called Reduced Channel Zero-Forcing (RCZF) and study its properties. RCZF precoding generalizes known constructions such as EZF [7]}. In Section  we define necessary terms and provide two descriptions of MIMO system suitable for our study. In Section  we proceed to prove Theorem REF  which states that RCZF class precoding is capable of eliminating interference while others are not. In Section  we provide detailed description of two widespread detection schemes, namely Minimum MSE Interference Rejection Combiner (MMSE-IRC) [8]}, [9]}, [10]} and QR Maximum Likelihood Detection (QR-MLD) [11]}. Theoretical part of this paper culminates in Theorems REF  and REF  stating that these two detection schemes suppress interference combined with RCZF precoding. In Section  we support all the claims of the paper with Quadriga [12]} based experiments and present their description and graphical evidence. All necessary algebraic notations are given in Tab REF .
